Effective properties of a new auxetic triangular lattice: An analytical approach

Abstract

In this article we propose a new auxetic periodic lattice with negative Poisson's ratio which tends to the limit v=-1 under particular conditions. We have studied its generation and kinematic, and we give a full description of the mechanical properties of this innovative model. Calibrating the geometrical configuration of the lattice and the mechanical properties of the constituent material we are able to have a Poisson's ratio which is arbitrarily close to -1.